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arXiv · 1503.02277

Generalized Frol\'ik classes

Paolo Lipparini
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Abstract

The class $\mathfrak C $ relative to countably compact topological spaces and the class $\mathfrak P$ relative to pseudocompact spaces introduced by Z. Frol\'ik are naturally generalized relative to every topological property. We provide a characterization of such generalized Frol\'ik classes in the broad case of properties defined in terms of filter convergence. If a class of spaces can be defined in terms of filter convergence, then the same is true for its Frol\'ik class.

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Paolo Lipparini. 2015-03-08. Generalized Frol\'ik classes. https://arxiv.org/abs/1503.02277

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